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Electrostatic Potential And Capacitance

Question

Write an expression for potential $V (\vec{r})$ at a point due to two point charges q₁ and q₂at position $\vec{r_{1}} and \vec{r_{2}}$ respectively.

Solution

The potential at a point due to two point charges is given by,

V (\vec{r}) = \frac{1}{4 {πε}_{0}} \frac{q_{1}}{|\vec{r_{1}} - \vec{r_{2}}|} + \frac{1}{4 {πε}_{0}} \frac{q_{2}}{|\vec{r_{1}} - \vec{r_{2}}|}

where,

V (\overset{⇀}{r})

is the potential,
q₁ and q₂ are two point charges,
r₁ and r₂represnt the positions of point charges.